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Markov operators on multimeasures

Author

Listed:
  • Davide La Torre

    (University of Milan)

  • Franklin Mendivil

Abstract

In this paper, we study some IFS Markov operators on set-valued measures (multimeasures). For this, we consider countable additivity with respect to the Minkowski sum of compact and convex sets and countable additivity with respect to (the Hausdorff closure of) unions of compact sets. After defining appropriate metrics and proving completeness, we define several variations on IFS Markov operators on multimeasures and give many examples.

Suggested Citation

  • Davide La Torre & Franklin Mendivil, 2006. "Markov operators on multimeasures," UNIMI - Research Papers in Economics, Business, and Statistics unimi-1031, Universitá degli Studi di Milano.
    • Handle: RePEc:bep:unimip:unimi-1031
    Note: oai:cdlib1:unimi-1031
    as

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    Cited by:

    1. Davide LA TORRE & Franklin MENDIVIL, 2007. "Iterated function systems on multifunctions and inverse problems," Departmental Working Papers 2007-32, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.

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